Finding the Third Proportional to 311,931 and 465,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,931 : 465,817.50 = 465,817.50 : x
2. Step 2: Convert to fraction form
   311,931/465,817.50 = 465,817.50/x
3. Step 3: Cross multiply
   311,931x = 465,817.50 × 465,817.50
4. Step 4: Simplify right side
   311,931x = 216,985,943,306.25
5. Step 5: Solve for x
   x = 216,985,943,306.25/311,931
6. Step 6: Final answer
   x = 695,621.61